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Finding the Fourth Proportional to 1,567.76, 2,351.65 and 413.50

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Solution

The fourth proportional to 1,567.76, 2,351.65 and 413.50 is: 620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.76 : 2,351.65 = 413.50 : x
  2. Step 2: Convert to fraction form
    1,567.76/2,351.65 = 413.50/x
  3. Step 3: Cross multiply
    1,567.76x = 2,351.65 × 413.50
  4. Step 4: Simplify right side
    1,567.76x = 972,407.28
  5. Step 5: Solve for x
    x = 972,407.28/1,567.76
  6. Step 6: Final answer
    x = 620.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.